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Finding the Third Proportional to 3,183,566,119 and 6,850,861,646

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Solution

The third proportional to 3,183,566,119 and 6,850,861,646 is: 14,742,682,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183,566,119 : 6,850,861,646 = 6,850,861,646 : x
  2. Step 2: Convert to fraction form
    3,183,566,119/6,850,861,646 = 6,850,861,646/x
  3. Step 3: Cross multiply
    3,183,566,119x = 6,850,861,646 × 6,850,861,646
  4. Step 4: Simplify right side
    3,183,566,119x = 46,934,305,292,633,825,280
  5. Step 5: Solve for x
    x = 46,934,305,292,633,825,280/3,183,566,119
  6. Step 6: Final answer
    x = 14,742,682,745.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.